633632080 has 20 divisors (see below), whose sum is σ = 1473194772. Its totient is φ = 253452800.

The previous prime is 633632023. The next prime is 633632099. The reversal of 633632080 is 80236336.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 433805584 = 14136^2 + 20828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×633632080² = 802979225610252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3960121 + ... + 3960280.

Almost surely, 2^633632080 is an apocalyptic number.

It is an amenable number.

633632080 is an abundant number, since it is smaller than the sum of its proper divisors (839562692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

633632080 is a wasteful number, since it uses less digits than its factorization.

633632080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920414 (or 7920408 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 633632080 is about 25172.0495788484. The cubic root of 633632080 is about 858.9061629673.

It can be divided in two parts, 6336 and 32080, that added together give a 4-th power (38416 = 14⁴).

The spelling of 633632080 in words is "six hundred thirty-three million, six hundred thirty-two thousand, eighty".